2272138944 has 112 divisors (see below), whose sum is σ = 6442789248. Its totient is φ = 704155648.

The previous prime is 2272138937. The next prime is 2272138949. The reversal of 2272138944 is 4498312722.

It is a junction number, because it is equal to n+sod(n) for n = 2272138896 and 2272138905.

It is not an unprimeable number, because it can be changed into a prime (2272138949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266719 + ... + 275105.

It is an arithmetic number, because the mean of its divisors is an integer number (57524904).

Almost surely, 2^2272138944 is an apocalyptic number.

2272138944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221394624).

2272138944 is an abundant number, since it is smaller than the sum of its proper divisors (4170650304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2272138944 is a wasteful number, since it uses less digits than its factorization.

2272138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8502 (or 8492 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 2272138944 is about 47666.9586191525. The cubic root of 2272138944 is about 1314.6544883968.

The spelling of 2272138944 in words is "two billion, two hundred seventy-two million, one hundred thirty-eight thousand, nine hundred forty-four".